The slope of the line that contains the point (13,-2) and (3,-2) is 0
<em><u>Solution:</u></em>
Given that we have to find the slope of the line
The line contains the point (13,-2) and (3,-2)
<em><u>The slope of line is given as:</u></em>
Where, "m" is the slope of line
Here given points are (13,-2) and (3,-2)
<em><u>Substituting the values in formula, we get,</u></em>
Thus the slope of line is 0
Answer:
We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg
Step-by-step explanation:
Information provided
represent the average nicotine content
represent the sample standard deviation
sample size
represent the value to check
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value for the test
System of hypothesis
We want to verify if the nicotine content of the cigarettes exceeds 40 mg , the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case would be:
(1)
And replcing we got:
The degrees of freedom are:
The p value would be:
We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg
The linear inequality that is represented by the graph is; y ≤ One-halfx + 2
<h3>How to Interpret Inequality Graphs?</h3>
The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the inequality graph attached, we can see that we can calculate the slope from;
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(2 - 0)
m = 1/2
We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.
The line is a solid line and not dotted and the shaded part is beneath the line and as such;
The inequality is; y ≤ One-halfx + 2
Read more about Inequality Graphs at; brainly.com/question/11234618
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